A Compressed Equivalent Source Method Based on Equivalent Redundant Dictionary for Sound Field Reconstruction

Autor: Zhongming Xu, Liangsong Chen, Yansong He, Zhifei Zhang
Rok vydání: 2019
Předmět:
Beamforming
functional beamforming
Computer science
compressive sensing
lcsh:Technology
01 natural sciences
Source field
lcsh:Chemistry
03 medical and health sciences
0302 clinical medicine
sound field reconstruction
0103 physical sciences
Singular value decomposition
General Materials Science
030223 otorhinolaryngology
lcsh:QH301-705.5
010301 acoustics
Instrumentation
Fluid Flow and Transfer Processes
equivalent redundant dictionary
Basis (linear algebra)
lcsh:T
Dynamic range
Process Chemistry and Technology
General Engineering
Sparse approximation
lcsh:QC1-999
Orthogonal basis
Computer Science Applications
Compressed sensing
lcsh:Biology (General)
lcsh:QD1-999
lcsh:TA1-2040
Computer Science::Programming Languages
equivalent source method
lcsh:Engineering (General). Civil engineering (General)
Algorithm
lcsh:Physics
Zdroj: Applied Sciences, Vol 9, Iss 4, p 808 (2019)
Applied Sciences
Volume 9
Issue 4
ISSN: 2076-3417
DOI: 10.3390/app9040808
Popis: The equivalent source method (ESM) based on compressive sensing (CS) requires that the source has a sparse or approximately sparse representation in a suitable basis or dictionary. However, in practical applications, it is not easy to find the appropriate basis or dictionary due to the indeterminate characteristics of the source. To solve this problem, an equivalent redundant dictionary is constructed, which contains two core parts: one is the equivalent dictionary used in the CS-based ESMs under the sparse assumption, and the other one is the orthogonal basis obtained by the singular value decomposition (SVD). On this foundation, a method named compressed ESM based on the equivalent redundant dictionary (ERDCESM) is proposed to enhance the performances of source field reconstruction for different types of sources. Moreover, inspired by the idea of functional beamforming (FB), ERDCESM with order v (ERDCESM- v ) can possess a high dynamic range when detecting the source location. The numerical simulations are carried out at different frequencies to evaluate the performance of the proposed method, and the results suggest that the proposed method performs well both for sparse and even spatially extended sources. The validity and practicality of the proposed method are also verified by the experimental results.
Databáze: OpenAIRE